I am working on a collectable card game as a hobby. I want adefinitive set of cards that I can plan on crafting by allocating 0 to100 points to spend on creating the card in any 8 areas.

Given 8 possible attributes to each card, ranging from 0 to 100 howmany possible combinations are possible to get:

-=> an average of 25 (common cards)-=> an average of 50 (uncommon cards)-=> and average of 75 (rare)(or from a purely formula base; How can I get the possiblecombinations of X atrributes ranging from L to H such that the averageis exactly Y; given L,H,X, and Y are whole numbers.)

The idea is that I have laid out a point system to creating a cardgiving a card designer (my friends) either 200, 400, or 600 points tobuild a card to ensure a basic balancing system in their creation.